On duality between Cosserat elasticity and fractons

Andrey Gromov, Piotr Surówka

SciPost Phys. 8, 065 (2020) · published 21 April 2020

Abstract

We present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a vector-valued one-form gauge field and an ordinary $U(1)$ gauge field. We discuss the degrees of freedom in the corresponding gauge theories, the defect matter and coupling to the curved space.

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